International Journal of Engineering Research

S. N. Anand ¹, T. V. Sreerama Reddy ², D. Madhu ³

Affiliations
1 School of Mechanical Engg., Reva University, Bengaluru, Karnataka, IN
2 Mechanical Engineering, Bangalore Institute of Technology, Bengaluru, Karnataka, IN
3 Mechanical Engineering, Government College of Engineering, Ramanaga, IN

Abstract

In this work, due to rapid development of BEM, thermal conduction problem is solved using the boundary integral equation formulation and boundary element solution method. Arbitrary bodies which are three dimensional in shape are analyzed and addressed. The geometry of the body is divided into triangular patches using triangular patch modeling. A numerical solution is developed by defining the basis functions on the face of the triangles generated in the triangular patch modeling, in contrast to defining it on the nodes as followed in the regular BEM solutions. The temperature distribution from the surface of the hot body is plotted for different boundary temperature. Also the convergence study is conducted to get the solution convergence towards the exact solution for the case of a sphere. Other geometries bodies like cube and cylinder are also treated.

Keywords

Boundary Integral Equations, Thermal Conduction, Face Based Basis Functions, Error Analysis.

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